What is 1/2 of 75?

How to calculate 1/2 of 75?

1. Multiply the whole number by the numerator of the fraction: 75 × 1 = 75
2. Divide this result by denominator of the fraction: 75/2 = 37.5

Since 75/2 is an improper fraction, the result could also be expressed as a mixed number: 37 1/2

How does it work?

The principle behind finding a fraction of a number, such as 1/2 of 75, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{1}{2}=\frac{x}{75}$ (where x represents 1/2 of 75)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $1\times 75=2x$
2. Which gives: $75=2x$
3. Divide both sides by 2 to isolate x: $\frac{75}{2}=\frac{2x}{2}$
4. Which gives the result: $\frac{75}{2}=x$

Thus, 1/2 of 75 is equal to 75/2 (or 37.5 in its decimal form).